A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route on each trip. The total duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry’s distance from point A in miles and t is the time in minutes, which equation models the ferry’s distance from point A for the duration of the trip?
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14

The answer is  -|0.35 t -14| +14

Step-by-step explanation:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: